A mathematical tool is developed for evaluation of antenna radiation pattern effects on the shuttle orbiter S band quad antennas. A ray optics approach is used which includes multiple internal reflections with special consideration to reflection from the metallic orbiter skin. Significant depolarization may occur as the angle from the normal increases. The effect of changing tile thickness on the beamwidth of the upper quads versus the lower quads results in a small increase in the lower quad beamwidth compared with the beamwidth in the upper quads. The optimization and evaluation of the S band quads and the computer tool developed may be used to evaluate other shuttle orbiter antennas.

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